uppose u, and H, are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 9, x = 114.2, s, = 5.01, n = 9, y = 129.7, and s, 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) n USE SALT -20.68 -10.32
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- The manager of the purchasing department of a large saving and loan organization would like to develop a model to predict the amount of time (measured in hours) it takes to record a loan application. Data are collected from a sample of 30 days, and the number of applications recorded and completion time in hours is recorded. Attached below is the regression output. What can be said about the 90% confidence interval for the mean change in the amount of time needed as a result of recording one additional loan application? Question content area bottom Part 1 A. The 90% confidence interval is narrower than [0.0109, 0.0143]. B. The 90% confidence interval is wider than [0.1492, 0.6555]. C. The 90% confidence interval is wider than [0.0109, 0.0143].A study compares changes in bone density in 22 women who are neither pregnant nor breastfeeding to that of 47 comparably aged women who are breastfeeding. Table 12.13 lists percent changes in bone mineral content in the spines of these women. Compare these groups with back-to-back stemplots on a common stem. How do the groups differ? Does either group show a major departure from Normality? Calculate the 95% confidence interval for the mean difference in bone loss in the two groups. Discuss your findings.A biology student measured the ear lengths of an SRS of 10 Mountain cottontail rabbits, and an SRS of 10 Holland lop rabbits. The ear lengths for the two samples are listed in the two tables attached (see attached image). (a) Calculate a 95% confidence interval for the difference in mean ear lengths between Mountain cottontail rabbits and Holland lop rabbits. Make sure to define which is “µ1” and which is “µ2.” (You can complete the calculations either by hand or using R, but remember to show all your work.) (b) Do Holland lop rabbits have longer ears on average than Mountain cottontail rabbits? Carry out a test of significance to answer this question. Show your work at each step. Don’t forget to state the hypotheses at the start (making sure to define all parameters), and to include a conclusion in terms of the original problem. (You can complete the calculations either by hand or using R, but remember to show all your work.)
- A researcher reports an F-ratio with dfbetween=2 and dfwithin=30 for an independent-measures ANOVA.A trial study suggest that the standard deviation for the half life for the drug chlordiazepoxide is 8 hours. With 99% confidence, find the sample size needed to determine the mean half life for the drug with a margin of error of 3 hours.Calculate the CV of an assay that gives results for the mean and SD of 5.0 and 0.5 mmol /L.
- Unfortunately, arsenic occurs naturally in some ground water. A mean arsenic level of µ = 8 parts per billion (ppb) is considered safe for agricultural use. A well in Los Banos is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 37 tests gave a sample mean of = 7.3ppb arsenic. It is known that o = 1.9ppb for this type of data. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use the classical approach. Use a = 0.01 What is the calculation (step 4) for this problem? Z = -2.34 z = 2.34 z = 2.24 z = -2.24A repeated-measures study comparing two treatments with a sample of n = 4 participants produces a mean of M1 = 18 with SS = 24 for the scores in the first treatment, a mean of M2 = 14 with SS = 18 for the scores in the second treatment, and a mean of MD = 4 with SS = 12 for the difference scores. What is the estimated standard error for the sample mean difference?Arsenic occurs naturally in some ground water and can be toxic. A mean arsenic level of μ=9μ=9 parts per billion (ppb) is considered safe for agricultural use. A well in San Bernardino County is used to water strawberry crops. This well is tested on a regular basis for arsenic. A random sample of 46 tests gave a sample mean of 8 ppb arsenic, with a sample standard deviation of 5.4 ppb. Does this information indicate that the mean level of arsenic in this well is different from μ=9μ=9 ppb? Use α=0.05α=0.05What is the level of significance? State the null and alternate hypotheses. H0:H0:? χ p σ μ Select an answer < ≠ > = ppbH1:H1:? σ p χ μ Select an answer ≠ > < = ppbWhat sampling distribution will you use? Explain the rationale for you choice of sampling distribution. The Student's t, since we have a simple random sample that is large and σσ is known. The Student's t, since we have a simple random sample that is large. The standard normal, since we have a simple random…
- The correlation between a response and an explanatory variable was calculated as partof a simple linear regression analysis. The corresponding 95% confidence interval forthe correlation coefficient was calculated as [-0.2, 0.2]. Without calculating anything,what can you say regarding whether the explanatory variable is a significantly usefulpredictor of the response? Explain your answer.Avalanches can be a real problem for travelers in the western United States and Canada. Slab avalanches studied in Canada had an average thickness of u = 67 cm. A sample of 31 avalanches in the U.S. gave a sample mean of = 63.0 cm. It is known that o = 10.3 cm for this type of data. Use a 0.03 level of significance to test the claim that the mean slab thickness of avalanches in the United States is different from that in Canada. Use the P-Value Approach. What is the P-Value for this problem? O 0.0154 0.0150 0.0300 0.0308Avalanches can be a real problem for travelers in the western United States and Canada. Slab avalanches studied in Canada had an average thickness of u = 67 cm. A sample of 31 avalanches in the U.S. gave a sample mean of = 63.0 cm. It is known that o = 10.3 cm for this type of data. Use a 0.03 level of significance to test the claim that the mean slab thickness of avalanches in the United States is different from that in Canada. Use the P-Value Approach. What are the hypotheses for this problem? А: Но и 3D 63.0 ст us На и + 63.0 ст B: Но и 63.0 ст С: Но и %3D 67 ст us HA и < 67 ст D: Ho u = 67 cm vs HA H# 67 cm B O A